Q.

Let s∪i=150xi=∪i=1nYi=T, where each Xi contains 10 elements and each Yi contains 5 elements. If  each element of the set T is an element of exactly 20 of sets Xi' and exactly 6 of sets Yi's , then n is equal to:

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a

50

b

45

c

30

d

15

answer is C.

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Detailed Solution

∪i=150xi=∪i=1nyi=T10×5020=5n6  n=30
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